Home
Class 12
MATHS
If z1& z1 represent adjacent vertices o...

If `z_1& z_1` represent adjacent vertices of a regular polygon on `n` sides with centre at the origin & if `(l m(z_1))/(R e(z_1))=sqrt(2)-1` then the value of `n` is equal to: 8 (b) 12 (c) 16 (d) 24

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If z_(1) and overline(z)_(1) represent adjacent vertices of a regular polygon of n sides whose centre is origin and if (Im (z_(1)) )/(Re (z_(1))) = sqrt(2)-1 then n is equal to:

If z_1 and bar z_1 represent adjacent vertices of a regular polygon of n sides where centre is origin and if (Im(z))/(Re(z)) = sqrt(2) - 1, then n is equal to: (A) 8 (B) 16 (C) 24 (D) 32

The center of a regular polygon of n sides is located at the point z=0, and one of its vertex z_(1) is known. If z_(2) be the vertex adjacent to z_(1) , then z_(2) is equal to

Points z_(1)&z_(2), are adjacent vertices of a regular octagon.The vertex z_(3) adjacent to z_(2)(z_(3)!=z_(1)) is represented by

If z_(1)=cos theta+i sin theta and 1,z_(1),(z_(1))^(2),(z_(1))^(3),......,(z_(1))^(n-1) are vertices of a regular polygon such that (Im(z_(1))^(2))/(ReZ_(1))=(sqrt(5)-1)/(2), then the value n is

If origin, 1-sqrt(3)i represents two vertices of equilateral triangle,then its third vertex be z_(1) or, z_(2) , then (|z_(1)|)^(2)+(|z_(2)|)^(2)=

"I f"|(z_1-3z_2)/(3-z_1 bar(z_2))|=1"and"|z_2|!=1,t h e n|z_1|"i s" 3 (b) 1 (c) 2 (d) 4

RESONANCE DPP-JEE MAINS-All Questions
  1. Let lambda=int0^1(dx)/(1+x^3),p=(lim)(n->oo)[(prod(r=1)^n(n^3+r^3)...

    Text Solution

    |

  2. For f(x)=sin^2x ,x in (0,pi) point of inflection is: pi/6 (b) (2pi)/4...

    Text Solution

    |

  3. If z1& z1 represent adjacent vertices of a regular polygon on n sides...

    Text Solution

    |

  4. If z=((1+isqrt3)^2)/(4i(1-isqrt3)) is a complex number then a. arg(...

    Text Solution

    |

  5. If vec a+2"" vec b+3"" vec c="" vec0 and |"" vec a|=6,|"" vec b|=3a n...

    Text Solution

    |

  6. Function f(x)=sin(lnx)-"cos"(lnx) is (a)M.I. in [e^(2npipi/4),e^(2np...

    Text Solution

    |

  7. tan(sec^(-1) (1/x))=sin(cos^(-1) (1/sqrt(5)))

    Text Solution

    |

  8. If f(x)={(sina x^2)/(x^2); x!=0 3/4+1/(4a); x=0, is continuous everyw...

    Text Solution

    |

  9. The value of sin(pi/3-sin^(-1)(4/5)) is (a) (3sqrt(3)-4)/(10) (b) (3...

    Text Solution

    |

  10. If greatest and least values of f(x)=sin^(-1)(x/(sqrt(x^2+1)))-lnx in...

    Text Solution

    |

  11. "lim"(x->0)(ln(t a n(pi/4+a x)))/(sinb x),b!=0 is equal to (a)a/b (b...

    Text Solution

    |

  12. If An=int0^(pi/2)(sin(2n-1)x)/(sinx)dx ;Bn=int0^(pi/2)((sinn x)/(sinx...

    Text Solution

    |

  13. Which of the following functions is periodic (a) cos^2x+sinx^3+"tan"...

    Text Solution

    |

  14. Solve the following system of inequations: 4(tan^(-1)x)^2-8tan^(-1)x+3...

    Text Solution

    |

  15. The number of values of k for which the system of the equations (k+1)x...

    Text Solution

    |

  16. Projection of line (x+1)/2+(y+1)/(-1)=(z+3)/4 on the plane x+2y+z=6; h...

    Text Solution

    |

  17. ("lim")(x→0^+)("sin"[cosx])/(1-[cosx]) ([.] denotes the greatest integ...

    Text Solution

    |

  18. If [dot] represents the greatest integer function, then int4^(10)([x^2...

    Text Solution

    |

  19. Lim(x rarr 0^+) ((pi/2-cot^(-1){x})x)/("sgn"x-cosx) (where {.} and sgn...

    Text Solution

    |

  20. int2^4((log)x2-(((log)2 2)^2)/(ln2))dx= 0 (b) 1 (c) 2 (d) 4

    Text Solution

    |